Noether's Theorem and Symmetry (Paperback)

Noether's Theorem and Symmetry By P. G. L. Leach (Guest Editor), Andronikos Paliathanasis (Guest Editor) Cover Image

Noether's Theorem and Symmetry (Paperback)

By P. G. L. Leach (Guest Editor), Andronikos Paliathanasis (Guest Editor)

$55.40


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In Noether's original presentation of her celebrated theorem of 1918, allowances were made for the dependence of the coefficient functions of the differential operator which generated the infinitesimal transformation of the Action Integral upon the derivatives of the dependent variable(s), the so-called generalized, or dynamical, symmetries. A similar allowance is to be found in the variables of the boundary function, often termed a gauge function by those who have not read the original paper. This generality was lost after texts such as those of Courant and Hilbert or Lovelock and Rund confined attention to only point transformations. In recent decades, this diminution of the power of Noether's Theorem has been partly countered, in particular, in the review of Sarlet and Cantrijn. In this Special Issue, we emphasize the generality of Noether's Theorem in its original form and explore the applicability of even more general coefficient functions by allowing for nonlocal terms. We also look at the application of these more general symmetries to problems in which parameters or parametric functions have a more general dependence upon the independent variables.

Product Details ISBN: 9783039282340
ISBN-10: 3039282344
Publisher: Mdpi AG
Publication Date: March 5th, 2020
Pages: 186
Language: English